Question

3)4 2/3+1/4×[1 7/9-4/9]​

Answer 1

Ответ:   5.

Объяснение:

4 2/3+1/4*(1 7/9-4/9)= 5.

По действиям:

1)  ​1 7/9 - 4/9= 1 (7-4)/9=1 3/9=1 1/3;

2)  1/4 * 1 1/3 = 1/4 * 4/3 = 1/3;

3)  4 2/3 + 1/3 = 4 (2+1)/3 = 4 3/3 = 5.

Answer 2

To solve the expression 4 2/3 + 1/4 × [1 7/9 - 4/9], you should follow the order of operations (PEMDAS/BODMAS).

1. First, calculate the value inside the square brackets: 1 7/9 - 4/9 = 2/3 - 4/9

2. Find a common denominator, which is 9: (2/3) * (3/3) - (4/9) = 6/9 - 4/9

3. Subtract the fractions inside the brackets: 6/9 - 4/9 = 2/9

4. Now, you can rewrite the expression as: 4 2/3 + 1/4 × 2/9

5. Next, calculate the product: 1/4 × 2/9 = (1 * 2) / (4 * 9) = 2/36 = 1/18

6. Now, add the results together: 4 2/3 + 1/18

To add a mixed number to a fraction, you need to make sure they have the same denominator. In this case, the denominator is 18:

• Convert the mixed number 4 2/3 to an improper fraction: (3 * 4 + 2) / 3 = 14/3

Now, you can add the fractions:

14/3 + 1/18

To add these fractions, you need to find a common denominator, which is 18:

• Multiply the first fraction (14/3) by 6/6 to get a common denominator: (14/3) * (6/6) = 84/18

Now, you can add the fractions:

84/18 + 1/18 = 85/18

So, the final result is 85/18. If you want to convert this back to a mixed number, it's approximately 4 13/18.